ℵ1-A-coseperable groups
Keywords:
ℵ1-a-coseparable groups, Martin's axiom, endomorphism rings.Abstract
Let A be a countable self-small Abelian group with a right Noetherian right hereditary endomorphism ring. We show that the question whether strongly-ℵ1-A-generated groups are ℵ1-A-coseparable is undecidable in ZFC. Our main focus is on the algebraic aspect of the proof, not on the underlying set-theory.
Mathematics Subject Classification (2010): 20K20, 20K40.
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